105105500330 has 32 divisors (see below), whose sum is σ = 200334831120. Its totient is φ = 39565946880.

The previous prime is 105105500281. The next prime is 105105500351. The reversal of 105105500330 is 33005501501.

It can be written as a sum of positive squares in 8 ways, for example, as 5872310161 + 99233190169 = 76631^2 + 315013^2 .

It is a super-2 number, since 2×105105500330² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105105500296 and 105105500305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4210526 + ... + 4235414.

Almost surely, 2^105105500330 is an apocalyptic number.

105105500330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105105500330 is a deficient number, since it is larger than the sum of its proper divisors (95229330790).

105105500330 is a wasteful number, since it uses less digits than its factorization.

105105500330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49754.

The product of its (nonzero) digits is 1125, while the sum is 23.

The spelling of 105105500330 in words is "one hundred five billion, one hundred five million, five hundred thousand, three hundred thirty".